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Communications in Partial Differential Equations

Volume 32, Issue 7, 2007

Super-Liouville Equations on Closed Riemann Surfaces

Super-Liouville Equations on Closed Riemann Surfaces

DOI:
10.1080/03605300600962663
Jürgen Josta*, Guofang Wangb & Chunqin Zhouc

pages 1103-1128

Available online: 01 Aug 2007

Abstract

Motivated by the supersymmetric extension of Liouville theory in the recent physics literature, we couple the standard Liouville functional with a spinor field term. The resulting functional is conformally invariant. We study geometric and analytic aspects of the resulting Euler–Lagrange equations, culminating in a blow up analysis.

Keywords

Mathematics Subject Classification

 

Details

  • Citation information:
  • Available online: 01 Aug 2007

Author affiliations

  • a Max Planck Institute for Mathematics in the Sciences, Inselstr, Leipzig, Germany
  • b Faculty of Mathematics, University of Magdeburg, Magdeburg, Germany
  • c Department of Mathematics, Shanghai Jiaotong University, Shanghai, China

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